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SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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Chinese Annals of Mathematics,Series B 2005年第4期26卷 651-658页

作者： WANG MENG department of Mathematics, zhejiang university,{2., china School of Mathematical sciences, Pudan university, Shanghai 2.0433, china. department of Mathematics Zhejiang University Hangzhou 310027 China. School of Mathematical sciences Fudan University Shanghai 200433 China

Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(... 详细信息

关键词： Sobolev inequality Complete manifold Riesz transform Potential Heat kernel

Discovery of Permian island-arc basalts in the Cenxi area and the tectonic significance──A piece of evidence for the paleo-Tethyan tectonic belt in western Guangdong and eastern Guangxi

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Chinese Science Bulletin 1998年第21期43卷 1838-1842页

作者： ZHANG Boyou 1, ZHAO Zhenhua 1, SHI Manquan 1, YANG Shufeng 2.and CHEN Hanlin 2.1. Guangzhou Institute of Geochemistry, Chinese Academy of sciences, Guangzhou 510640, china {2., zhejiang university, hangzhou 31002., china Guangzhou Institute of Geochemistry Chinese Academy of Sciences Guangzhou China department of earth {2. Zhejiang University Hangzhou China

Cenxi Permian basalts are the late Palaeozoic island-arc type basalts first found in South china. REE and trace element characteristics and distribution patterns show that this volcanic formation, which has been isotopically dated at 2.1 MaB.P. by the 39Ar/ 40Ar method, is of an active continental marginal island arc type, and that the tectonic environment at that time was an island-arc marginal sea or minor ocean basin related with the paleo-Tethyan tectonic belt in western Guangdong-eastern Guangxi.

关键词： spilite-keratophyre pillow lava Permian continental margin paleo-Tethyan evolution.

A note on characterization of Hardy space H^1

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Science china Mathematics 2005年第4期48卷 448-455页

作者： WANG Silei department of Mathematics, zhejiang university,{2., china 1. department of Mathematics Zhejiang University 310028 Hangzhou China

An all-round answer is given to the following question: 'Find a necessary and sufficient size condition for an integrable compactly supported function on Rn with mean value zero to be in the Hardy space H1.' Stefanov ... 详细信息

关键词： Hardy space Riesz transform Hilbert transform

THE CONVERGENCE OF DURAND-KERNER METHOD FOR SIMULTANEOUSLY FINDING ALL ZEROS OF THE POLYNOMIAL

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Journal of Computational Mathematics 2000年第6期18卷 567-570页

作者： Dan-fu Han (department of Mathematics, zhejiang university,{2., china) 浙江大学浙江杭州 310028

In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Kerner method and to compare the obtained results with other methods. [ABSTRACT FROM AUTHOR]

关键词： Durand-Kerner method convergence two kinds of criterions

Oroclinal bending and block rotations in South china since the Mesozoic——Geological and paleomagnetic evidence

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Chinese Science Bulletin 1997年第2期42卷 132-136页

作者： LI Zhengxiang, FANG Dajun, Christopher McA. Powell and LOU Gang1. department of Geology and Geophysics, The university of Western Australia, Nedlands WA 6907, Australia {2., zhejiang university, hangzhou 31002., china department of Geology and Geophysics The University of Western Australia Nedlands Australia department of earth {2. Zhejiang University Hangzhou China

THE South china Block exhibits a complex structural pattern in its Neoproterozoic-Mesozoic sedimentary cover. The lack of knowledge about the formation of this pattern hinders our understanding of the regional tectonic evolution and paleogeography, and the reconstruction of Phanerozoic apparent polar wander path(s). In this note we present a synthesis based on a paleomagnetic and tectonic analysis, which suggests that (i) the structural pattern over

关键词： Mesozoic paleomagnetism block rotation.

Genome organization and phylogenetic tree analysis of Garlic virus E,a new member of genus Allexivirus

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Chinese Science Bulletin 2002年第1期47卷 33-37页

作者： CHEN Jiong & CHEN JianpingCollege of Life sciences, zhejiang university,{2., china Virology department, zhejiang Academy of Agricultural sciences,{2., china College of Life sciences Zhejiang University Hangzhou China Virology department Zhejiang Academy of Agricultural Sciences Hangzhou China

The complete sequence of an Allexivirus iso-lated from garlic plants in Yuhang City, zhejiang Province, china had been determined. The single-strand, positive RNA genome was 8451 nucleotides in length excluding poly(A) tail. The genome organization of this virus was similar to that of the other Allexiviruses but only with 62.8%-64.8% nucleo-tide acid identities. The amino acid sequences of proteins encoded by ORFl-6 shared 67.6%-78.5%, 55.4%-66.2., 56.7%-66.4%,40.3%-55.6%,66.3%-79.7%and 52.2.-68.8% identities with those of the others respectively. The homology range between it and the other Allexiviruses was similar to that between the other distinct species in this genus. A more comprehensive comparison using all available CP amino acid sequences showed that it shared only 63.9%-79.8% amino acids identical with the others. Therefore, it had been considered as a new member of the genus, named as garlic virus E (GarV-E). Phylogenetic analysis confirmed GarV-E as a distinct member and the correct names

关键词： genus Allexivirus garlic virus E nucleotide sequence classification.

Geochemical migration of arsenic and its environmental efect

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Journal of Environmental sciences 1997年第2期9卷 37-46页

作者： Weng Huanxin, Lan Xiang department of earth {2., zhejiang university, hangzhou 31002., china

This paper presents the results of a field study regarding the transport and environmental fate of arsenic. Concentrations of arsenic and various forms of its compounds in rock, soil, river water, and river bottom deposits in an area near hangzhou, china, were measured and analyzed. On the basis of these field data, the source and interface transfer of arsenic were discussed. A few very interesting findings were reported. This paper indicates that there was relatively low arsenic concentration in Jing Hang Canal, whereas, rather high arsenic concentration in the river bottom mud was found. The paper attributed this phenomenon to mechanism of arsenic deposition and absorption in the water column, the canal has a rather high self purification ability relative to the arsenic input.

关键词： arsenic geochemical migration environmental effect.

Effect of background electrolytes on the adsorption of nitroaromatic compounds onto bentonite

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Journal of Environmental sciences 2009年第8期21卷 1044-1052页

作者： CHEN Baoliang, HUANG Wenhai department of Environmental Science, zhejiang university,{2., zhejiang, china. [a]department of Environmental Science Zhejiang University Hangzhou 310028 Zhejiang China

To further elucidate interaction of nitroaromatic compounds with mineral surface, the sorption of m-dinitrobenzene （m-DNB） and nitrobenzene to original bentonite in aqueous solution containing different electrolytes （i.e., KCl, NH4Cl, CaCl2.and Tetramethylammonium bromide （TMAB）） was studied. The sorption of m-DNB was greatly enhanced with the presence of KCl and NH4Cl, while little influence was observed with CaCl2.and TMAB, following the order of KCl 〉 NH4Cl 〉〉 TMAB, CaCl2. or DI water. For nitrobenzene, sorption enhancement only occurred at high nitrobenzene concentrations in the presence of KCl, and the solute equilibrium concentration at inflexion point was lowered with increasing KCl concentration. These sorption enhancements were significantly promoted with the increase of electrolyte concentration. The salting-out effect is insufficient to account for the sorption enhancement by original bentonite with increasing KCI or NH4Cl concentration. X-ray diffraction patterns of bentonite suspensions indicated that the sorption enhancement of m-DNB was attributed to the intercalation of K^＋ or NH4^＋ into bentonite interlayer and then dehydration with m-DNB to form inner-sphere complexes, which caused previously expanded bentonite interlayers to collapse in aqueous suspension, thus further enhanced the interaction of phenyl with siloxane surface. In comparison, the sorption enhancement of NB is attributed to the formation of outer-sphere complexes with K^＋ at high solute-loadings （〉 2.（0-400 mg/kg）. The sorption of m-DNB to initially modified TMA^＋-bentonite and K^＋-bentonite was almost the same as respective sorption to original bentonite in solution containing TMA^＋ and K^＋.

关键词： sorption nitroaromatic compound bentonite cation type wastewater treatment

Mean size formula of wavelet subdivision tree on Heisenberg group

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Applied Mathematics(A Journal of Chinese Universities) 2008年第3期23卷 303-312页

作者： WANG Guo-mao department of Mathematics,zhejiang {2.,hangzhou 31002.,china department of Mathematics,hangzhou Dianzi {2.,hangzhou 310018,china. department of Mathematics Zhejiang University Hangzhou 310027 China department of Mathematics Hangzhou Dianzi University Hangzhou 310018 China

The purpose of this paper is to investigate the mean size formula of wavelet packets （wavelet subdivision tree） on Heisenberg group. The formula is given in terms of the p-norm joint spectral radius. The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed. The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.

关键词： Heisenberg group wavelet packets subdivision tree joint spectral radius stability